Question
Asked Nov 6, 2019
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Express the function in the form f°g
1.
3
G(x)
3
2
а.
f)x, g)
-2
b
fx)x, g)
2
с.
g(x) x
fx)
2
d
fix)x2, g)
е.
fx)
g(x) x3
2
2. For fx) x' +3, g(x) x-10, and A(z)
x find fogoh
=
а.
g -10
3
b.
(fog h)() x
с.
(fg.h))= -7)
d
(fg h))
-(.3). -10)-
x -7
=
+ (x-
3
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Express the function in the form f°g 1. 3 G(x) 3 2 а. f)x, g) -2 b fx)x, g) 2 с. g(x) x fx) 2 d fix)x2, g) е. fx) g(x) x3 2 2. For fx) x' +3, g(x) x-10, and A(z) x find fogoh = а. g -10 3 b. (fog h)() x с. (fg.h))= -7) d (fg h)) -(.3). -10)- x -7 = + (x- 3

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Expert Answer

Step 1

“Since you have asked multiple questions with multiple sub-parts, we will solve the first three sub-parts of the first question for you. If you want any specific question with specific sub-parts to be solved then please specify the question number or post only that question.”

a)

 Consider the given function

f(x)=x",g(s)= 2
x-2
To find fog
For f(x) xsubstitute x with g(x)-
X-2
3
fog
x-2
3-6x212x-8
Therefore, for the function f (x)= x',g (x)-
the composite function fog is
x-2
3-6x212x-8
help_outline

Image Transcriptionclose

f(x)=x",g(s)= 2 x-2 To find fog For f(x) xsubstitute x with g(x)- X-2 3 fog x-2 3-6x212x-8 Therefore, for the function f (x)= x',g (x)- the composite function fog is x-2 3-6x212x-8

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Step 2

b)

Consider the given...

f (x)=.g(x)
X+2
To find fog
For f(x) xsubstitute x with g(x)-
x+2
3
fog
x+2
36x212x+8
X
Therefore, for the function f (x)= x',g(x)-
the composite function fog is
x+2
x3+6x212x+8
help_outline

Image Transcriptionclose

f (x)=.g(x) X+2 To find fog For f(x) xsubstitute x with g(x)- x+2 3 fog x+2 36x212x+8 X Therefore, for the function f (x)= x',g(x)- the composite function fog is x+2 x3+6x212x+8

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Math

Calculus

Functions

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